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Automorphism group actions on trees
Author(s) -
Ivanov Alexandre,
Kossak Roman
Publication year - 2004
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.200310078
Subject(s) - peano axioms , mathematics , automorphism , automorphism group , tree (set theory) , group (periodic table) , outer automorphism group , inner automorphism , group action , alternating group , combinatorics , discrete mathematics , pure mathematics , chemistry , organic chemistry
We study the situation when the automorphism group of a recursively saturated structure acts on an ℝ‐tree. The cases of (ℚ, <) and models of Peano Arithmetic are central in the paper. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)